Let \({I}\)  be a small category, \({{V}}\)  a symmetric monoidal category, and \({{M}}\)  a model category category enriched, tensored and cotensored over \({{V}}\)  (i.e. a model \({{V}}\) -category in the terminology of [1]}).
Following the notation in [2]}, we let
\((-) \underset{{I}}{\otimes } (-) \colon {{V}}^{{I}^\mathrm {op}} \times {{M}}^{I}\longrightarrow {{M}}\qquad \text{and} \qquad \lbrace -,-\rbrace ^{I}\colon {{V}}^{I}\times {{M}}^{I}\longrightarrow {{M}}\) 
